Subtract. $$ \frac{13 b+2}{8 b}-\frac{3 b}{8 b} $$ Simplify your answer as much as possional expressions with common de Sims

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UpStudy AI · Accepted Answer

Simplify the expression by following steps:
- step0: Solution:
  $$\frac{\left(13b+2\right)}{8b}-\frac{3b}{8b}$$
- step1: Remove the parentheses:
  $$\frac{13b+2}{8b}-\frac{3b}{8b}$$
- step2: Transform the expression:
  $$\frac{13b+2-3b}{8b}$$
- step3: Subtract the terms:
  $$\frac{10b+2}{8b}$$
- step4: Factor:
  $$\frac{2\left(5b+1\right)}{8b}$$
- step5: Reduce the fraction:
  $$\frac{5b+1}{4b}$$
To subtract the two fractions:

$$
\frac{13b + 2}{8b} - \frac{3b}{8b}
$$

we can combine them since they have a common denominator of $$8b$$:

1. **Combine the numerators**:
   $$
   \frac{(13b + 2) - 3b}{8b}
   $$

2. **Simplify the numerator**:
   $$
   13b + 2 - 3b = 10b + 2
   $$

3. **Write the combined fraction**:
   $$
   \frac{10b + 2}{8b}
   $$

4. **Factor the numerator**:
   $$
   \frac{2(5b + 1)}{8b}
   $$

5. **Simplify the fraction**:
   $$
   \frac{2(5b + 1)}{8b} = \frac{5b + 1}{4b}
   $$

Thus, the simplified result is:

$$
\frac{5b + 1}{4b}
$$
$$ \frac{5b + 1}{4b} $$

Subtract. \[ \frac{13 b+2}{8 b}-\frac{3 b}{8 b} \] Simplify your answer as much as possional expressions with common de Sims

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